For use on our bikes Fluke is overkill. The three cheap meters I have, perform equally good as the much more expensive (back then) automotive type, also known as engine analyzer (which qualification is a bit of an exaggeration IMO). I'd focus on what you want to do with it in the next foreseeable future. For our bikes, you want be able to measure DC volts, ohms and amps. If there's a 200V, 20V and 2V range, fine. All, even the cheapest, have them. For measuring resistance we need a 200Ω, 2kΩ, 20kΩ and 200kΩ range. Again, even the cheapest have them. Although all that I've seen can measure milliampères, not all have an amps range up to 10A. Not everyone needs this, but I like to have it and up to 15A is maybe even more desirable.
What is really important however, is the quality of the casing. Believe it or not, but I have to be far more prudent with the expensive automotive meter, because the cheap meters all have this wonderful (removable) rubber cover with even a built-in foldable stand and clamps to put the probes in when you're finished. Class! My cheap meters even came with the more expensive silicone testwires which I favor over PVC. Only a few DMMs come with an extra set of testwires that have crocodile clamps. Nice to have them as well, but you can buy them separate ofcourse. You want a fuse in your meter that can be replaced. An auto shut-off is nice but not really necessary. All in all the cheap meters that I have are remarkably good. No wonder you find this model in every workshop. They've been sold in the millions. Alas, recently I've seen even cheaper imitations (Action shops) that are not as good.
If you want an 'engine analyzer' it will at least have tach and/or frequency, dwell and/or duty cycle. A warning: don't go for those that measure tach with an inductive clamp. They won't work satisfactorily on our HTleads. IIRC Draper came out best in an UK consumer test not that long ago. All meters that I've worked with over the years, were accurate enough. Professional meters are much better in varying temperatures and when you work in electronics where a higher degree of accuracy is important. But remember: for us, quality of casing and wires is paramount. If the casing is plastic, then it must at least have a removable rubber cover. All my meters are digital but I still think measuring Volts and Tach is nicer with an analogue meter.